Finding the Third Proportional to 31,388 and 68,824

Step by Step Solution

1. Step 1: Write the proportion equation
   31,388 : 68,824 = 68,824 : x
2. Step 2: Convert to fraction form
   31,388/68,824 = 68,824/x
3. Step 3: Cross multiply
   31,388x = 68,824 × 68,824
4. Step 4: Simplify right side
   31,388x = 4,736,742,976
5. Step 5: Solve for x
   x = 4,736,742,976/31,388
6. Step 6: Final answer
   x = 150,909.36